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42325431600 = 24352412633271
BaseRepresentation
bin100111011010110010…
…101101010100110000
311001020201202200221210
4213122302231110300
51143140302302400
631235524520120
73025602142524
oct473262552460
9131221680853
1042325431600
1116a4a66a241
128252850040
133cb6a901aa
142097379d84
15117ac2d950
hex9dacad530

42325431600 has 240 divisors, whose sum is σ = 139460073984. Its totient is φ = 10966272000.

The previous prime is 42325431581. The next prime is 42325431601. The reversal of 42325431600 is 613452324.

42325431600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (42325431601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12937965 + ... + 12941235.

Almost surely, 242325431600 is an apocalyptic number.

42325431600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42325431600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69730036992).

42325431600 is an abundant number, since it is smaller than the sum of its proper divisors (97134642384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42325431600 is a wasteful number, since it uses less digits than its factorization.

42325431600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3596 (or 3585 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 42325431600 its reverse (613452324), we get a palindrome (42938883924).

The spelling of 42325431600 in words is "forty-two billion, three hundred twenty-five million, four hundred thirty-one thousand, six hundred".